Given Numbers are 436, 441

We can find the LCM of 436, 441 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 436 and 441

Multiples of 436 =436,872,1308,1744,2180,2616,3052,3488,3924,4360,4796,5232,5668,6104,6540,6976,7412,

Multiples of 441 =441,882,1323,1764,2205,2646,3087,3528,3969,4410,4851,5292,5733,6174,6615,7056,7497,

Now, get the least common multiple of 436, 441 which is 192276

So, the LCM of 436, 441 is 192276.

One method for determining the LCM of 436 and 441 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 436's prime factorization:

Prime factors of 436 are 2,109.

436 = 2²×109¹

And this is 441's prime factorization:

Prime factors of 441 are 3,7.

441 = 3²×7²

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,109, 3,7

2²×3²×7²×109¹ = 192276

This shows that the LCM of 436 and 441 is 192276.

The first step in determining the Least Common Multiple of 436 and 441 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 436 and 441:

Lets look at the first ten multiples of these numbers, 436 and 441:

436,872,1308,1744,2180,2616,3052,3488,3924,7412 are the first ten multiples of 436.

441,882,1323,1764,2205,2646,3087,3528,3969,7497 are the first ten multiples of 441.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 436 and 441, for example, are 5232, 7412, and 7056. 192276 is the least common multiple since it is the smallest.

436 and 441 have an LCM of 192276.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 436 and 441, than apply into the LCM equation.

GCF(436,441) = 1
LCM(436,441) = ( 436 × 441) / 1
LCM(436,441) = 192276 / 1
LCM(436,441) = 192276

1. What is the LCM of 436 and 441?

The LCM of 436 and 441 is 192276.

2. How to find the lowest common multiple of 436 and 441?

To find the lowest common multiple of 436 and 441, we have to get the multip;es of both numbers and identify the least common multiple in them which is 192276.

3. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

Answer:

Least Common Multiple of 436 and 441 = 192276

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

Step 2: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 192276 = 2 x 2 x 3 x 3 x 7 x 7 x 109

Step 4: Therefore, the least common multiple of 436 and 441 is 192276.